If \( g(x) = x^2 - 3x + 2 \), what is \( g(3) \)?

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Multiple Choice

If \( g(x) = x^2 - 3x + 2 \), what is \( g(3) \)?

To determine \( g(3) \) for the function \( g(x) = x^2 - 3x + 2 \), you need to substitute \( 3 \) for \( x \) in the function. Start by substituting: 1. Replace \( x \) with \( 3 \): \[ g(3) = (3)^2 - 3 \cdot (3) + 2 \] 2. Calculate \( (3)^2 \): \[ (3)^2 = 9 \] 3. Calculate \( -3 \cdot (3) \): \[ -3 \cdot (3) = -9 \] 4. Combine these values: \[ g(3) = 9 - 9 + 2 \] 5. Simplify further: \[ g(3) = 0 + 2 = 2 \] Thus, \( g(3) = 2 \), which corresponds to the correct choice. This demonstrates that by carefully substituting and performing basic arithmetic operations, one can evaluate polynomial functions at specific points.

To determine ( g(3) ) for the function ( g(x) = x^2 - 3x + 2 ), you need to substitute ( 3 ) for ( x ) in the function.

Start by substituting:

  1. Replace ( x ) with ( 3 ):

[

g(3) = (3)^2 - 3 \cdot (3) + 2

]

  1. Calculate ( (3)^2 ):

[

(3)^2 = 9

]

  1. Calculate ( -3 \cdot (3) ):

[

-3 \cdot (3) = -9

]

  1. Combine these values:

[

g(3) = 9 - 9 + 2

]

  1. Simplify further:

[

g(3) = 0 + 2 = 2

]

Thus, ( g(3) = 2 ), which corresponds to the correct choice. This demonstrates that by carefully substituting and performing basic arithmetic operations, one can evaluate polynomial functions at specific points.

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